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16_ferris_wheel_key_drop


  1. Question

    A Ferris wheel has a radius of 120.6 meters, and (while spinning) one rotation takes 260 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 760 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  2. Question

    A Ferris wheel has a radius of 20.1 meters, and (while spinning) one rotation takes 34 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 72 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  3. Question

    A Ferris wheel has a radius of 46.2 meters, and (while spinning) one rotation takes 85 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 215 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  4. Question

    A Ferris wheel has a radius of 100.6 meters, and (while spinning) one rotation takes 314 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 736 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  5. Question

    A Ferris wheel has a radius of 103.5 meters, and (while spinning) one rotation takes 634 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 1500 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  6. Question

    A Ferris wheel has a radius of 67.2 meters, and (while spinning) one rotation takes 456 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 939 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  7. Question

    A Ferris wheel has a radius of 62.7 meters, and (while spinning) one rotation takes 115 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 248 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution


  8. Question

    A Ferris wheel has a radius of 39.4 meters, and (while spinning) one rotation takes 89 seconds.

    Samuel gets into a carriage at the bottom of the Ferris wheel. At \(t=0\), the wheel starts spinning, and it spins continuously for 226 seconds until an abrupt stop. At that moment, Samuel drops his keys, which fall directly down to the ground.

    plot of chunk unnamed-chunk-2

    How far, in meters, are the keys from where Samuel entered the carriage? The tolerance is \(\pm 0.1\) meters.


    Solution